34253899920 has 160 divisors (see below), whose sum is σ = 119312006400. Its totient is φ = 9031689216.

The previous prime is 34253899919. The next prime is 34253899943. The reversal of 34253899920 is 2999835243.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103149 + ... + 281331.

It is an arithmetic number, because the mean of its divisors is an integer number (745700040).

Almost surely, 2^34253899920 is an apocalyptic number.

34253899920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34253899920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59656003200).

34253899920 is an abundant number, since it is smaller than the sum of its proper divisors (85058106480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34253899920 is a wasteful number, since it uses less digits than its factorization.

34253899920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178294 (or 178282 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 34253899920 in words is "thirty-four billion, two hundred fifty-three million, eight hundred ninety-nine thousand, nine hundred twenty".